"$ygradualdiv" 修訂間的差異

出自 DDCC TCAD TOOL Manual
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(已建立頁面，內容為 "This function is to determine how the segment is divided. There are two columns to fill in. The first column ''i'' should be filled in an integer 0, 1, or 2. : {| |'...")
 
 
(未顯示由 2 位使用者於中間所作的 16 次修訂)
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|-
  
|-
 
|''i'' = 1:
  
|''i'' = 1:
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| Gradual. This means the segment is divided whether from small spacing to large spacing or in the opposite way.
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| Gradual. This means the segment is divided whether from small spacing to large spacing or in the opposite way. The spacing is distributed like a geometric progression
 
|-
  
|-
 
|''i'' = 2:
  
|''i'' = 2:
 
|Bump. This means the segment can be divided into two forms small-large-small or large-small-large.
  
|Bump. This means the segment can be divided into two forms small-large-small or large-small-large.
 
|}
  
|}
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The second column ''r'' should be filled in a real number. number 1 for gradual this means the spacing between each point becomes smaller.
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The second column ''r'' should be filled in a real number.
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+
<br>
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[[File:Mesh2.png|600px]]
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<br>
 
{| class="wikitable"
  
{| class="wikitable"
 
|-
  
|-
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|small -> large -> small
  
|small -> large -> small
 
|}
  
|}
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<br>
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If the total layer thickness is <math>l </math> and i=1, then if the smallest separation distance is a
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<math>l = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N} </math>
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where N is the total grid number defined in [[$ydiv]]
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Then <math>l = a\frac{r^{N}-1}{r-1} </math>
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<br>
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If the total layer thickness is <math>l </math> and i=2, then if the smallest separation distance is a
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<math>l/2 = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N/2} </math>
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where N is the total grid number defined in [[$ydiv]]
  +
Then <math>l = 2 \cdot a\frac{r^{N/2}-1}{r-1} </math>
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<br>
  
<br>
 
: Example
  
: Example
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$ynode
  +
0.0
  +
0.5
  +
2.0
  +
3.0
  +
  +
$ydiv
  +
25
  +
30
  +
60
  +
  +
$ygradualdiv
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0
  +
1 1.1
  +
2 0.9
  +
  +
<br>'''<big><big>The $ygradualdiv setting in GUI interface is here</big></big>''' <br>
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1. After setting up the Y-nodes, press '''Edit the nodes'''.<br>
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2. Choose the 1<sup>st</sup> node and set the Method to '''Uniform''' with a Mesh ratio of 0.00.<br>
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[[檔案:2D_ygradualdiv_fig1.jpg|1200px]]<br><br>
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3. Choose the 2<sup>nd</sup> node and set the Method to '''Gradual change''' with a Mesh ratio of 1.10.<br>
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[[檔案:2D_ygradualdiv_fig2.jpg|1200px]]<br><br>
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4. Choose the 3<sup>rd</sup> node and set the Method to '''Bump''' with a Mesh ratio of 0.90.<br>
  +
[[檔案:2D_ygradualdiv_fig3.jpg|1200px]]<br><br>
  +
[[檔案:2D_ygradualdiv_fig4.jpg|1200px]]
  +
  +
 
<br><br>
  
<br><br>
 
: Related commands
  
: Related commands
−
:; [[$xgradualdiv]]
 +
:; [[$xgradualdiv]],[[$ynode]],[[$ydiv]]

於 2024年10月21日 (一) 17:42 的最新修訂

This function is to determine how the segment is divided. There are two columns to fill in. The first column i should be filled in an integer 0, 1, or 2.

i = 0: Uniform. This means the segment is divided equally with the same spacing.
i = 1: Gradual. This means the segment is divided whether from small spacing to large spacing or in the opposite way. The spacing is distributed like a geometric progression
i = 2: Bump. This means the segment can be divided into two forms small-large-small or large-small-large.

The second column r should be filled in a real number.
Mesh2.png

If r < 1 If r = 1 If r > 1
Uniform (0) uniform uniform uniform
Gradual (1) large -> small uniform small -> large
Bump (2) large -> small -> large uniform small -> large -> small 


If the total layer thickness is l  and i=1, then if the smallest separation distance is a 
l = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N} 
where N is the total grid number defined in $ydiv
Then   l = a\frac{r^{N}-1}{r-1} 



If the total layer thickness is l  and i=2, then if the smallest separation distance is a 
l/2 = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N/2} 
where N is the total grid number defined in $ydiv
Then   l = 2 \cdot a\frac{r^{N/2}-1}{r-1}


Example
$ynode
0.0
0.5
2.0
3.0

$ydiv
25
30
60

$ygradualdiv
0
1 1.1
2 0.9


The $ygradualdiv setting in GUI interface is here
1. After setting up the Y-nodes, press Edit the nodes.
2. Choose the 1st node and set the Method to Uniform with a Mesh ratio of 0.00.
2D ygradualdiv fig1.jpg

3. Choose the 2nd node and set the Method to Gradual change with a Mesh ratio of 1.10.
2D ygradualdiv fig2.jpg

4. Choose the 3rd node and set the Method to Bump with a Mesh ratio of 0.90.
2D ygradualdiv fig3.jpg

2D ygradualdiv fig4.jpg




Related commands
$xgradualdiv,$ynode,$ydiv
取自 "http://yrwu-wk.ee.ntu.edu.tw/mediawiki/index.php?title=$ygradualdiv&oldid=4169"